Math @ Duke

Publications [#318270] of Robert Bryant
search www.ams.org.Papers Published
 Bryant, R, PseudoReimannian metrics with parallel spinor fields and vanishing Ricci tensor,
in Global analysis and harmonic analysis (MarseilleLuminy, 1999), Séminaires & Congrès, edited by Bourguinon, JP; Branson, T; Hijazi, O, vol. 4
(2000),
pp. 5394, Société Mathématique de France, ISBN 2856290949 [MR2002h:53082], [math.DG/0004073]
(last updated on 2019/08/21)
Abstract: I discuss geometry and normal forms for pseudoRiemannian metrics with parallel spinor fields in some interesting dimensions. I also discuss the interaction of these conditions for parallel spinor fields with the condition that the Ricci tensor vanish (which, for pseudoRiemannian manifolds, is not an automatic consequence of the existence of a nontrivial parallel spinor field).


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